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Simplifying 4y + 1 = 5y + 2 Reorder the terms: 1 + 4y = 5y + 2 Reorder the terms: 1 + 4y = 2 + 5y Solving 1 + 4y = 2 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 1 + 4y + -5y = 2 + 5y + -5y Combine like terms: 4y + -5y = -1y 1 + -1y = 2 + 5y + -5y Combine like terms: 5y + -5y = 0 1 + -1y = 2 + 0 1 + -1y = 2 Add '-1' to each side of the equation. 1 + -1 + -1y = 2 + -1 Combine like terms: 1 + -1 = 0 0 + -1y = 2 + -1 -1y = 2 + -1 Combine like terms: 2 + -1 = 1 -1y = 1 Divide each side by '-1'. y = -1 Simplifying y = -1
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